How to convert 405.75757941988 as a fraction

Question: What is 405.75757941988 as a fraction?


Answer: 405.75757941988 as a fraction is 13390/33


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How to convert 405.75757941988 as a fraction?

Solution:405.75757941988 as a fraction is 13390/33

Step 1:

The first step to converting 405.75757941988 to a fraction is to re-write 405.75757941988 in the form p/q where p and q are both positive integers. To start with, 405.75757941988 can be written as simply 405.75757941988/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 405.75757941988, which in this case is 11. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 405.75757941988/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 405.75757941988/1 each by 100000000000:

40575757941988/10 / 100000000000/10 = 40575757941988 / 100000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 405.75757941988 as a fraction:

13390/33 / 1

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